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The unit of Wien’s constant b is:

  • A. Wm⁻²K⁻⁴
  • B. m⁻¹K⁻¹
  • C. Wm²
  • D. mK

Aniket Singh , 8 Months ago
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anser 1 Answers
Askiitians Tutor Team

Wien's displacement constant, often denoted as b, is a key concept in thermodynamics and blackbody radiation. It relates the temperature of a blackbody to the wavelength at which its emission is maximized.

Understanding the Units

The unit of Wien's constant can be derived from the formula:

  • Wien's Law: λ_max = b/T

In this equation:

  • λ_max is the peak wavelength (in meters, m)
  • T is the absolute temperature (in Kelvin, K)

Analyzing the Options

To find the unit of b, we can rearrange the formula:

  • b = λ_max × T

Thus, the units of b are:

  • λ_max: meters (m)
  • T: Kelvin (K)

Combining these gives us:

  • Units of b = m × K = mK

Final Answer

Therefore, the correct unit of Wien’s constant b is mK.

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